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122215080 = 233513157499
BaseRepresentation
bin1110100100011…
…01101010101000
322111222011120110
413102031222220
5222241340310
620043254320
73012545121
oct722155250
9274864513
10122215080
1162a94aa9
1234b1a3a0
131c421220
1412335048
15aae1d20
hex748daa8

122215080 has 128 divisors (see below), whose sum is σ = 398160000. Its totient is φ = 29832192.

The previous prime is 122215063. The next prime is 122215103. The reversal of 122215080 is 80512221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244671 + ... + 245169.

It is an arithmetic number, because the mean of its divisors is an integer number (3110625).

Almost surely, 2122215080 is an apocalyptic number.

122215080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122215080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199080000).

122215080 is an abundant number, since it is smaller than the sum of its proper divisors (275944920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122215080 is a wasteful number, since it uses less digits than its factorization.

122215080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 122215080 is about 11055.0929439784. The cubic root of 122215080 is about 496.2588507538.

The spelling of 122215080 in words is "one hundred twenty-two million, two hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 499 520 628 780 785 942 998 1256 1497 1560 1570 1884 1996 2041 2355 2495 2994 3140 3768 3992 4082 4710 4990 5988 6123 6280 6487 7485 8164 9420 9980 10205 11976 12246 12974 14970 16328 18840 19461 19960 20410 24492 25948 29940 30615 32435 38922 40820 48984 51896 59880 61230 64870 77844 78343 81640 97305 122460 129740 155688 156686 194610 235029 244920 259480 313372 389220 391715 470058 626744 778440 783430 940116 1018459 1175145 1566860 1880232 2036918 2350290 3055377 3133720 4073836 4700580 5092295 6110754 8147672 9401160 10184590 12221508 15276885 20369180 24443016 30553770 40738360 61107540 122215080